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Arithmetic & Geometric Sequences (Set 2) Worksheet

Algebra 1 Math · printable worksheet (PDF) with answer key · 14 problems · CCSS HSF.LE.A.2, HSF.BF.A.2

A printable algebra 1 arithmetic & geometric sequences (set 2) practice worksheet with 14 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Show your work in the space provided. For an arithmetic sequence use $a_{n} = a_{1} + (n - 1) d$ ; for a geometric sequence use $a_{n} = a_{1} \cdot r^{n - 1}$ .

1. Is the sequence $4, 12, 36, 108, \dots$ arithmetic or geometric? Give the common difference or common ratio.
2. Is the sequence $45, 38, 31, 24, \dots$ arithmetic or geometric? Give the common difference or common ratio.
3. Find the common difference of the arithmetic sequence $- 8, - 3, 2, 7, \dots$
4. Find the common ratio of the geometric sequence $\frac{1}{4}, \frac{3}{4}, \frac{9}{4}, \frac{27}{4}, \dots$

Plus 10 more problems and a full answer key in the PDF.

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